8098272 has 192 divisors, whose sum is σ = 29352960. Its totient is φ = 2115072.

The previous prime is 8098261. The next prime is 8098283. The reversal of 8098272 is 2728908.

8098272 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8098261) and next prime (8098283).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78573 + ... + 78675.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^8098272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8098272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

8098272 is an abundant number, since it is smaller than the sum of its proper divisors (21254688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8098272 is a wasteful number, since it uses less digits than its factorization.

8098272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8098272 is about 2845.7462993036. The cubic root of 8098272 is about 200.8156027727.

The spelling of 8098272 in words is "eight million, ninety-eight thousand, two hundred seventy-two".